AP PreCalculus Unit 1 Review

Front

What is a quadratic function?

Back

Front

What does the end behavior of a polynomial function indicate?

Back

The end behavior of a polynomial function describes how the function behaves as the input values approach positive or negative infinity. It is determined by the leading term of the polynomial.

Front

How do you find the domain of a rational function?

Back

To find the domain of a rational function, identify values that make the denominator zero and exclude them from the set of all real numbers.

Front

What does it mean for a function to be concave up?

Back

A function is concave up if its second derivative is positive, indicating that the graph of the function is shaped like a cup and opens upwards.

Front

What does it mean for a function to be concave down?

Back

A function is concave down if its second derivative is negative, indicating that the graph of the function is shaped like a cap and opens downwards.

Front

What is the significance of average rates of change in a function?

Back

The average rate of change of a function over an interval gives the slope of the secant line connecting the endpoints of the interval, indicating how the function's output changes with respect to its input.

Front

How do you determine intervals where one function is less than or equal to another?

Back

Front

What is the vertex of a quadratic function?

Back

Front

What is the quadratic formula?

Back

Front

What is a polynomial function?

Back

A polynomial function is a function that can be expressed in the form of a polynomial, which is a sum of terms consisting of variables raised to non-negative integer powers and multiplied by coefficients.